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Finding the Fourth Proportional to 58.13, 80.21 and 32.25

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Solution

The fourth proportional to 58.13, 80.21 and 32.25 is: 44.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.13 : 80.21 = 32.25 : x
  2. Step 2: Convert to fraction form
    58.13/80.21 = 32.25/x
  3. Step 3: Cross multiply
    58.13x = 80.21 × 32.25
  4. Step 4: Simplify right side
    58.13x = 2,586.85
  5. Step 5: Solve for x
    x = 2,586.85/58.13
  6. Step 6: Final answer
    x = 44.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.